Dynamical Analysis of Planetary Gear Transmission System Under Support Stiffness Effects

Xiang, Ling; Deng, Zeqi; Hu, Aijun

doi:10.1142/s0218127420500807

Cited by 16 publications

(4 citation statements)

References 20 publications

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“…They devised a formula to calculate the time-varying meshing stiffness of tooth backlash and conducted an analysis to investigate the influence of this time-varying meshing stiffness on the dynamic properties of the system; Wei et al (2013) developed a nonlinear dynamic model for a planetary gear transmission system and conducted an analysis on the impact of nonlinear elements, such as time-varying meshing stiffness and transmission error, on the system; Wang and Zhu (2020) developed a torsional nonlinear dynamic model for the transmission system of an aviation engine. They conducted an analysis using bifurcation diagrams and FFT spectrum diagrams to illustrate the presence of distinct nonlinear dynamic characteristics in the gear system; Xiang et al (2020) introduced a nonlinear model for lateral torsional analysis of a multi-stage gear transmission system. This system is composed of a planetary gear group and two parallel gear stages.…”

Section: Introductionmentioning

confidence: 99%

“…(2013) developed a nonlinear dynamic model for a planetary gear transmission system and conducted an analysis on the impact of nonlinear elements, such as time-varying meshing stiffness and transmission error, on the system; Wang and Zhu (2020) developed a torsional nonlinear dynamic model for the transmission system of an aviation engine. They conducted an analysis using bifurcation diagrams and FFT spectrum diagrams to illustrate the presence of distinct nonlinear dynamic characteristics in the gear system; Xiang et al . (2020) introduced a nonlinear model for lateral torsional analysis of a multi-stage gear transmission system.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Wang,

Bi,

2024

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PurposeThe electromechanical planetary transmission system has the advantages of high transmission power and fast running speed, which is one of the important development directions in the future. However, during the operation of the electromechanical planetary transmission system, friction and other factors will lead to an increase in gear temperature and thermal deformation, which will affect the transmission performance of the system, and it is of great significance to study the influence of the temperature effect on the nonlinear dynamics of the electromechanical planetary system.Design/methodology/approachThe effects of temperature change, motor speed, time-varying meshing stiffness, meshing damping ratio and error amplitude on the nonlinear dynamic characteristics of electromechanical planetary systems are studied by using bifurcation diagrams, time-domain diagrams, phase diagrams, Poincaré cross-sectional diagrams, spectra, etc.FindingsThe results show that when the temperature rise is less than 70 °C, the system will exhibit chaotic motion. When the motor speed is greater than 900r/min, the system enters a chaotic state. The changes in time-varying meshing stiffness, meshing damping ratio, and error amplitude will also make the system exhibit abundant bifurcation characteristics.Originality/valueBased on the principle of thermal deformation, taking into account the temperature effect and nonlinear parameters, including time-varying meshing stiffness and tooth side clearance as well as comprehensive errors, a dynamic model of the electromechanical planetary gear system was established.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Wang,

Bi,

2024

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“…In the literature [9][10][11] , a multi-stage planetary gear nonlinear dynamics model was developed to investigate the dynamics of the gear system from different perspectives such as damping coefficient, tooth side clearance, meshing stiffness and impact stresses, respectively. Xiang et al [12,13] analyzed the dynamic characteristics of the gear system in terms of excitation frequency, support stiffness and gap bifurcation parameters, respectively, and concluded that the support stiffness has a greater influence on the system motion characteristics and a larger gap can make the system more stable. Liu et al [14] established a nonlinear dynamics model considering thermal deformation, studied the effect of temperature on the thermal time-varying mesh stiffness, and analyzed the effect of temperature variation on the dynamic characteristics of the system by root mean square.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics analysis of multifactor low-speed heavy-load gear system with temperature effect considered

2022

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Low-speed and heavy-duty gears will generate a lot of heat during meshing transmission, which will cause thermal deformation of the gears and affect the transmission performance of the gear system. It is of great significance to explore the influence of temperature effects on the nonlinear dynamics of the gear system. Taking the spur gear system as the research object, considering the nonlinear factors such as time-varying meshing stiffness, tooth backlash and comprehensive error, and introducing the influence of temperature change, the nonlinear dynamic model of the gear system is established, using 4~5th order Runge -Kutta algorithm performs simulation calculation on the model, combined with bifurcation diagram, maximum Lyapunov exponent diagram, phase diagram and Poincare section diagram, etc., to analyze the influence of temperature changes and time-varying stiffness coefficients on the motion characteristics of the gear system. The results show that the influence of temperature change on the gear system is related to the value of the time-varying stiffness coefficient. The larger the value, the more obvious the influence of temperature change; the system will show different dynamic response with the change of the time-varying stiffness coefficient, including four states of single-period motion, multiple-period motion, bifurcation and chaotic motion.The relevant conclusions can provide references for the design of gear systems under special working conditions.

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“…The dynamic responses of gear system were analyzed with the bifurcation diagram, time series, phase trajectory, Poincar´ e map, spectrum diagram, and related three-dimensional diagrams. Xiang et al 23 established a nonlinear model of a drivetrain composed of a planetary gear set and two parallel gear stages, where time-varying meshing stiffness, comprehensive gear errors, and gear backlash were taken into account. The nonlinear dynamic responses were analyzed by applying excitation frequency and support stiffness as the bifurcation parameters.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis of the central bevel gear transmission system in aero engine subjected to internal and external excitation

Liu

Zhang

Zhai

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The research on the nonlinear dynamic characteristics of the central bevel gear transmission system was carried out for the requirement of the vibration control and fault diagnosis of the central bevel gear transmission system in an aero engine. This paper proposes the dynamic model for the first time in order to investigate nonlinear dynamic behavior of the central bevel gear transmission system, and the internal and external excitations are taken into account by using lumped parameter modeling. Time-varying meshing stiffness, gear backlash, and gear transmission error is included in the internal excitations, and the input power, the speed fluctuation of the driven shaft and the high-pressure rotor unbalance excitation are included in the external excitations. The effects of the external excitations on the complex nonlinear dynamic behavior of the system are studied. The results show that reasonable control of input power, speed fluctuations, and high-pressure rotor mass imbalance can improve engine vibration.

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Dynamical Analysis of Planetary Gear Transmission System Under Support Stiffness Effects

Cited by 16 publications

References 20 publications

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered

Nonlinear dynamics analysis of multifactor low-speed heavy-load gear system with temperature effect considered

Nonlinear dynamic analysis of the central bevel gear transmission system in aero engine subjected to internal and external excitation

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